Math 8 Chapter 7

Finding Square Roots

100

Find the two square roots of the number:

144

12 & -12

200

p.292 #12

14 & -14

300

p.292 #19

They only found the positive square root.

1/2 & -1/2

400

p.292 #21

-116

500

p.292 #27

40

Finding Cube Roots

100

p.298 #6

9

200

p.298 #12

-9

300

p.298 #15

7/12

400

p.298 #18

55

500

p.298 #22 a & b

a) 40 in.

b) 9600 sq in.

The Pythagorean Theorem

100

p.304 #3

29 km

200

p.304 #5

9 in.

300

p.304 #8

11.67 yd

400

p.304 #9

The length of the hypotenuse was substituted for the wrong variable. 

b = 24

500

p.305 #12

37 mm

Approximating Square Roots

100

p.313 #10

Natural

200

p.313 #17

144 is a perfect square. So 12 is rational. 

300

p.313 #20

a) 7

b) 6.8

400

p.314 #26

10; 10 is to the right of sq.root of 20 

500

p.314 #29

2/3; 2/3 is to the right of sq.root 16/81

Using the Pythagorean Theorem

100

p.322 #5

Yes

200

p.322 #8

No

300

p.322 #11

sq.root of 52 = 7.2

400

p.322 #16

25

500

p.322 #17

The squared quantities under the radical should be added not subtracted; sq.root of 136